806671488 has 256 divisors, whose sum is σ = 2632089600. Its totient is φ = 213663744.

The previous prime is 806671483. The next prime is 806671499. The reversal of 806671488 is 884176608.

806671488 = 2457² + 2458² + ... + 2583².

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (806671483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5803323 + ... + 5803461.

It is an arithmetic number, because the mean of its divisors is an integer number (10281600).

Almost surely, 2^806671488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806671488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316044800).

806671488 is an abundant number, since it is smaller than the sum of its proper divisors (1825418112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

806671488 is a wasteful number, since it uses less digits than its factorization.

806671488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 806671488 is about 28401.9627490777. The cubic root of 806671488 is about 930.8911518131.

The spelling of 806671488 in words is "eight hundred six million, six hundred seventy-one thousand, four hundred eighty-eight".